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Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Secants, Tangents and Arcs
High schoolers identify chords and angles. In this geometry lesson, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
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Geometry In Space
Students Fulfill the requirements of Texas Standards as it relates to math and science. In this circle lesson, students identify the arcs and angles of a circle as it relates to Pi. They solve real life scenarios using space as an example.
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Angles and Arcs
High schoolers identify the relationship between angles and arcs. In this geometry activity, students rotate and move the circle around to create different arcs on the TI-Navigator. They differentiate between major and minor arcs.
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Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Texas Instraments
Angles in Circles
Teach your learners how to investigate the relationship between a central angle and an inscribed angle which subtend the same arc of a circle. The dynamic nature of Cabri Jr. provides opportunity for conjecture and verification.
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Arc Length and Sectors
Find the length of an arc. Students relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
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Circles and Angles
Students identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
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Arc Length - Horse
Students define an arc and calculate its length. In this geometry lesson, students find examples of arc in the real world. They show their understanding of arcs through problem solving.
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Arc Measurement Based on The Measurement of a Central Angle
Young scholars define keywords that are important to solve problems. In this geometry lesson, students find the arc length and angle of a circle. They convert between radians and degrees.
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Experiments with Inscribed Angles
Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...
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Unknown Length and Area Problems
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
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3.14159265
Students discover the value of Pi. In this value of Pi lesson, students measure the circumference and diameter of various circles on their graphing calculator. Students find the ratio of the circumference to the diameter and...
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Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson plan, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
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Circumscribed Polygons
Learners investigate polygons and construct ferris wheels. In this geometry lesson, students create a circle and differentiate properties of circles and polygons. They compare the relationship between angles and circumscribed polygons.
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Circle Packing
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
EngageNY
Inscribed Angle Theorem and Its Applications
Inscribed angles are central to the instructional activity. Young mathematicians build upon concepts learned in the previous instructional activity and formalize the Inscribed Angle Theorem relating inscribed and central angles. The...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Sectors of Pizza
Pupils identify the properties of a circle. In this geometry lesson, students relate properties of diameter to sections of a pizza. They calculate the measure of an arc and missing angles.
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Measurement of a Central Angle
Students calculate the measurement of a central angle. In this geometry lesson, students identify properties of circles. They use Cabri software to create and analyze graphs.
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Inscribed Angles
Learners calculate the inscribed angle of a triangle. In this geometry instructional activity, students identify the angle created by intersection of a triangle and a circle. They see the relationship between the arc and the angle.
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Inscribed Quadrilaterals and Parallelograms
Students differentiate between inscribed quadrilaterals and parallelograms. In this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the inscribed...
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Plain Figures and Measuring Figures
Students investigate basic geometric concepts. In this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.